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Finding the Fourth Proportional to 131,164.60, 196,649.70 and 56,223.40

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Solution

The fourth proportional to 131,164.60, 196,649.70 and 56,223.40 is: 84,293.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,164.60 : 196,649.70 = 56,223.40 : x
  2. Step 2: Convert to fraction form
    131,164.60/196,649.70 = 56,223.40/x
  3. Step 3: Cross multiply
    131,164.60x = 196,649.70 × 56,223.40
  4. Step 4: Simplify right side
    131,164.60x = 11,056,314,742.98
  5. Step 5: Solve for x
    x = 11,056,314,742.98/131,164.60
  6. Step 6: Final answer
    x = 84,293.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.